To write a program to find the solution of a matrix using Gaussian Elimination.
- Hardware โ PCs
- Anaconda โ Python 3.7 Installation / Moodle-Code Runner
- Start the program.
- import numpy,import sys.
- Use gaussian solving methods.
- Display the values.
- End the program.
'''Program to solve a matrix using Gaussian elimination with partial pivoting.
Developed by:
RegisterNumber:
'''
import numpy as np
import sys
n = int(input())
a = np.zeros((n,n+1))
X = np.zeros(n)
for i in range(n):
for j in range(n+1):
a[i][j] = float(input())
for i in range(n):
if a[i][i] == 0.0:
sys.exit('Divide by zero detected')
for j in range(i+1, n):
ratio = a[j][i]/a[i][i]
for k in range(n+1):
a[j][k] = a[j][k] - ratio * a[i][k]
X[n-1] = a[n-1][n]/a[n-1][n-1]
for i in range(n-2,-1,-1):
X[i] = a[i][n]
for j in range(i+1,n):
X[i] = X[i] - a[i][j]*X[j]
X[i] = X[i]/a[i][i]
for i in range(n):
print('X%d = %0.2f' %(i,X[i]), end = ' ')
/*
Program to find the solution of a matrix using Gaussian Elimination.
Developed by:
RegisterNumber:
*/
Thus the program to find the solution of a matrix using Gaussian Elimination is written and verified using python programming.